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Journal of Mathematical and Computational Science ISSN 1927-5307 (Print)

Archives › Volume 11, Number 1 (2021)

J. Math. Comput. Sci. 11 (2021), 991–1010

Fixed point theorems of generalised α-rational contractive mappings on rectangular b-metric spaces

M. Bina Devi, Bulbul Khomdram, Yumnam Rohen

PDF (158.3 KB) https://doi.org/10.28919/jmcs/5255

Abstract

In this paper, we introduce the concept of generalised α-rational contractive mappings in the framework of rectangular b-metric spaces. Using this new contractive mapping we prove some fixed point theorems. Various results are also derived and presented as corollaries. Obtained results are verified with suitable examples. The result also applied in integral equation.

Published
12 January 2021
Volume
11 (2021)
License
CC BY 3.0

Copyright © 2021 M. Bina Devi, Bulbul Khomdram, Yumnam Rohen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

M. B. Devi, B. Khomdram, Y. Rohen, Fixed point theorems of generalised α-rational contractive mappings on rectangular b-metric spaces, J. Math. Comput. Sci. 11 (2021), 991–1010. https://doi.org/10.28919/jmcs/5255

BibTeX
@article{Devi2021,
  author  = {Devi, M. Bina and Khomdram, Bulbul and Rohen, Yumnam},
  title   = {Fixed point theorems of generalised α-rational contractive mappings on rectangular b-metric spaces},
  journal = {J. Math. Comput. Sci.},
  volume  = {11},
  year    = {2021},
  pages   = {991--1010},
  doi     = {10.28919/jmcs/5255}
}